Selina Concise Mathematics Class 6 ICSE Solutions – Idea of Speed, Distance and Time

Selina Concise Mathematics Class 6 ICSE Solutions – Idea of Speed, Distance and Time

Selina Concise Mathematics Class 6 ICSE Solutions – Idea of Speed, Distance and Time

EXERCISE 17(A)
Question 1.
A train covers 51 km in 3 hours. Calculate its speed. How far does the train go in 30 minutes?
Solution:
Given : Distance = 51 km
Time = 3 hours
 
Question 2.
A motorist travelled the distance between two towns, which is 65 km, in 2 hours and 10 minutes. Find his speed in metre per minute.
Solution:
Distance between two towns = 65 km
Time taken = 2 hr 10 min
 
 
Question 3.
A train travels 700 metres in 35 seconds. What is its speed in km/h?
Solution:
Distance = 700 m
Time taken = 35 sec
 
Question 4.

A racing car covered 600 km in 3 hours 20 minutes. Find its speed in metre per second. How much distance will the car cover in 50 sec?

Solution:

Distance covered = 600 km
Time taken = 3 hr 20 min
 
= Speed x Time
= 50 x 50 m = 2500 m or 2.50 km

Question 5.
Rohit goes 350 km in 5 hours. Find :
(i) his speed
(ii) the distance covered by Rohit in 6.2 hours
(iii) the time taken by him to cover 210 km.
Solution:
Distance covered = 350 km
Time taken = 5 hours
 
Question 6.
A boy drives his scooter with a uniform speed of 45 km/h. Find :
(i) the distance covered by him in 1 hour 20 min.
(ii) the time taken by him to cover 108 km.
(iii) the time taken to cover 900 m.
Solution:
Speed of the scooter = 45 km/h
 
 
Question 7.
I travel a distance of 10 km and come back in 2   hours. What is my speed?
Solution:
Total distance covered = 10 km + 10 km = 20 km
 
Question 8.

A man walks a distance of 5 km in 2 hours. Then he goes in a bus to a nearby town, which is 40 km, in further 2 hours. From there, he goes to his office in an autorickshaw, a distance of 5 km, in   hour. What was his average speed during the whole journey?

Solution:

Distance of 5 km travelled on foot in 2 hours
Distance of 40 km travelled by bus in 2 hours
Distance of 5 km travelled by Rickshaw in   hour
Total distance covered = 5 + 40 + 5 = 50 km
 
Question 9.

Jagan went to another town such that he covered 240 km by a car going at 60 kmh-1. Then he covered 80 km by a train, going at 100 kmh-1 and the rest 200 km, he covered by a bus, going at 50 kmh-1. What was his average speed during the whole journey?

Solution:

Distance covered 240 km by car with speed 60 km/h
Distance covered 80 km by train with speed 100 km/h
and rest distance covered 200 km by bus with speed 50 km/h
Total distance covered = (240 + 80 + 200) km = 520 km
 
 
Question 10.

The speed of sound in air is about 330 ms-1. Express this speed in kmh-1. How long will the sound take to travel 99 km?

Solution:

Speed of sound in air = 330 m/sec
 
EXERCISE 17(B)
Question 1.

A train 180 m long is running at a speed of 90 km/h. How long will it take to pass a railway signal?

Solution:

Distance = 180 m
Speed = 90 km/h
 
Question 2.

A train whose length is 150 m, passes a telegraph pole in 10 sec. Find the speed of the train in km/h.

Solution:

Distance = 150 m
Time taken = 10 sec
 
Question 3.

A train 120 m long passes a railway platform 160 m long in 14 sec. How long will it take to pass another platform which is 100 m long?

Solution:

Distance covered = 120 m + 160 m = 280 m
Time taken = 14 seconds
 
Question 4.
Mr. Amit can walk 8 km in 1 hour 20 minutes.
(a) How far does he go in :
(i) 10 minutes ?
(ii) 30 seconds ?
(b) How long will it take him to walk :
(i) 2500 m ?
(ii) 6.5 km ?
Solution:
Amit walks 8 km in 1 hour 20 min
 
 
Question 5.
Which is greater : a speed of 45 km/h or a speed of 12.25 m/sec?
How much is the distance travelled by each in 2 seconds?
Solution:
First speed = 45 km/h
Second = 12.25 m/sec
 
Question 6.

A and B start from the same point and at the same time with speeds 15 km/h and 12 km/h respectively, find the distance between A and B after 6 hours if both move in :

(i) same direction

(ii) the opposite directions.
Solution:
A’s speed = 15 km/h
B’s speed = 12 km/h
Distance covered by A in 6 hours = 15 x 6 = 90 km
and Distance covered by B in 6 hours = 12 x 6 = 72 km
(i) Distance between A and B when they move in the same direction = 90 – 72 = 18 km
(ii) Distance between A and B, when they move in the opposite directions = 90 + 72 = 162 km

Question 7.

A and B start from the same place, in the same direction and at the same time with speeds 6 km/h and 2 m/sec respectively. After 5 hours who will be ahead and by how much?

Solution:

A’s speed = 6 km/h
B’s speed = 2 m/sec
Distance covered by A in 5 hours = 6 x 5 = 30 km
and distance covered by B in 5 hours = 5 x 60 x 60 x 2 m = 36000 m
=   = 36 km
B will be ahead and 36 – 30 = 6 km ahead.

Question 8.

Mohit covers a certain distance in 6 hrs by his scooter at a speed of 40 kmh-1.

(i) Find the time taken by Manjoor to cover the same distance by his car at the speed of 60 kmh-1.

(ii) Find the speed of Joseph, if he takes 8 hrs to complete the same distance.

Solution:

Mohit’s speed = 40 km/h or kmh-1

Distance covered in = 6 hours

Distance = 40 x 6 = 240 km

(i) Manjoor car’s speed = 60 kmh-1

He will cover the distance of 240 km in =   = 4 hours

(ii) Joseph covered that distance in 8 hours

His speed =   = 30 kmh-1

Question 9.

A boy swims 200 m in still water and then returns back to the point of start in total 10 minutes. Find the speed of his swim in

(i) ms-1

(ii) kmh-1.
Solution:
Distance swimed by a boys of 200 m + 200 m = 400 m
Time taken = 10 minutes
 
Question 10.

A distance of 14.4 km is covered in 2 horus 40 minutes. Find the speed in ms-1. With this speed Sakshi goes to her school, 240 m away from her house and then returns back. How much time, in all, will Sakshi take?

Solution:

Distance = 14.4 km
Time taken to cover = 2 hrs 40 min
=   hrs