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Page No 72:

Question 1:

Anil and Alex are car drivers. Anil drove 180 kilometers in 4 hours and Alex drove 230 kilometers in 5 hours. Whose average speed is greater?

 

Answer:

Distance travelled by Anil in 4 hours = 180 km

We know that

So, speed of Anil’s car = km/h

= 45 km/h

Distance travelled by Alex in 5 hours = 230 km

So, speed of Alex’s car = km/h

= 46 km/h

The average speed of Alex’s car is greater than the average speed of Anil’s car.



Page No 73:

Question 1:

Can complete this table.

Distance travelled

Time taken

Average speed

150 km

5 hours

....................

360 km

4 hours 30 minutes

....................

....................

12 hours

52 km/hour

....................

8 hours 30 minutes

54 km/hour

600 km

....................

30 km/hour

475 km

....................

50 km/hour

....................

2 hours 15 minutes

60 km/hour

 

Answer:

We know that

Distance travelled

Time taken

Average speed

150 km

5 hours

360 km

4 hours 30 minutes =

(52 × 12) km

= 624 km

12 hours

52 km/h

8 hours 30 minutes

=

54 km/h

600 km

30 km/h

475 km

50 km/h

2 hours 15 minutes =

60 km/h

Note: 60 minutes = 1 hour

 

Page No 73:

Question 2:

Sabu got into the bus at 6 o’clock. Usually the bus travels at an average speed of 30 km/hr and reaches the railway station at ten. But that day, it was raining and it could manage only an average speed of 20 km/hr. Sabu got down from the bus at eight and caught a car. He reached the station at ten itself. What was the average speed of the car?

 

Answer:

Usual average speed of the bus = 30 km/h

Time taken by the bus to reach the railway station = 4 hours (from 6 o’clock to 10 o’clock)

We know that distance travelled = Average speed × time taken

∴ Distance covered by the bus = (30 × 4) km = 120 km

On the rainy day, the average speed of the bus = 20 km/h

Time taken by the bus = 2 hours (from 6 o’clock to 8 o’clock)

∴ Distance covered by the bus in 2 hours = (20 × 2) km = 40 km

Remaining distance covered by the car in 2 hours (from 8 o’clock to 10 o’clock)

= 120 km 40 km

= 80 km

Thus, average speed of the car

=

= km/h

= 40 km/h



Page No 77:

Question 1:

Vipin cycled to his friend’s house, travelling at an average speed of 10 km/hr and then back home at an average speed of 15 km/hr. What is the average speed of the entire ride?

 

Answer:

Let the distance travelled by Vipin between his house and his friend’s house be x km.

Total distance travelled by Vipin = (x + x) km = 2x km

We know that time taken =

Time taken by Vipin to reach his friend’s house = hours

Time taken by Vipin to return home = hours

Total time taken by Vipin = hours

= hours

= hours

= hours

= hours

∴ Average speed during the entire ride =

= km/h

= 12 km/h

Page No 77:

Question 2:

Now can’t you complete this table

km/hour

72

48

1

……..

…….

metre/second

……..

……..

……..

1

20

Answer:

We know that 1 km = 1000 m

1 hour = (60 × 60) seconds = 3600 seconds

km/hour

72

48

1

metre/ second

1

20



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