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A bus travels a certain distance in 40 minutes if it runs at a speed of 60 km/hr on an average. Find the speed (in km/hr) at which the bus must run to reduce the journey time to 20 minutes.
  • a)
    50
  • b)
    120
  • c)
    55
  • d)
    80
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A bus travels a certain distance in 40 minutes if it runs at a speed ...
Solution:

Given, distance = speed × time

Let the distance be d km.

Given, time taken = 40 minutes = 2/3 hours (since 1 hour = 60 minutes)

Therefore, d = 60 × 2/3 = 40 km

To reduce the journey time to 20 minutes = 1/3 hours

Let the required speed be S km/hr.

Therefore, d = S × 1/3

Equating the expressions for d, we get:

S × 1/3 = 40

S = 40 × 3 = 120 km/hr

Therefore, the required speed is 120 km/hr.

Hence, option (B) is the correct answer.
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Community Answer
A bus travels a certain distance in 40 minutes if it runs at a speed ...
For the first case,
Time = 40/60 hr = 4/6 hr
Speed = 60 km/hr
Distance = Speed × Time
= 60 × 4/6 = 40 km
For the second case, the journey time is reduced to 20 minutes.
So, Time = 20/60 hr = 1/3 hr
Using: Speed = Distance/Time
New speed = 40 × 3 km/hr = 120 km/hr
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A bus travels a certain distance in 40 minutes if it runs at a speed of 60 km/hr on an average. Find the speed (in km/hr) at which the bus must run to reduce the journey time to 20 minutes.a)50b)120c)55d)80Correct answer is option 'B'. Can you explain this answer?
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