A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?

A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?

Ques:- A man misses a bus by 40 minutes if he travels at 30 kmph. If he travels at 40 kmph, then also he misses the bus by 10 minutes. What is the minimum speed required to catch the bus on time?
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One Answer on this Question

  1. the answer is 45 km/h
    Define x:

    Let the total distance be x.

    Find the time needed in terms of x for speed at 30 km/h:
    Find the time needed in term of x for 40 km./h:
    Find the difference in time:
    Solve x:
    Find the total time needed to for the whole journey:
    Given that he was 40 mins late:
    Find the minimum speed needed:
    Answer: The minimum speed is 45 km/h

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