Question

Q18 A journey by bus takes 38 minutes at 65 kmph.
How fast must a car go to complete the same
journey in 30 minutes?
Ops: A
50 kmph
В.
70 kmph
С.
82.33 kmph
D.
58 kmph​

Answer 1

Answer:

speed =65

time 38/60 HR

distance 65*38/60

=41.16

now car distance=41.16

time =1/2hr

speed= 41.16*2

82.33

Answer 2

The car must go at the speed of 82.33 kmph (option c) to complete the same journey in 30 minutes.

Given,

A journey by bus takes 38 minutes.

Speed of bus = 65kmph

Time to be taken by car to cover the same distance = 30 minutes

To find,

The speed of the car.

Solution,

The speed of the car to complete the same distance in 30 minutes will be 82.33 kmph.

We can easily solve this numerical problem by using the concept of speed, distance and time.

We know that speed = distance/time taken.

The unit of speed is in kmph and that of time is in minutes.

We need the same units of time. So, we need to the convert the time from minutes to hours.

Time taken = 38 minutes

Time taken = 38/60 hours ( 1 hour is equal to 60 minutes)

Distance covered by bus (D) = speed of the bus × time taken

D = 65 × 38/60

D = 2470/60

D = 41.16 km

The distance covered is the same for the bus and car.

The time taken is 30 minutes. We need to convert this into hours.

Time taken by car = 30/60 hours

Time taken by car = 0.5 hours

Speed (S) = distance/time taken

Speed = 41.16/0.5

Speed = 82.33 kmph

Hence, the speed of the car must be 82.33 kmph.