This question is from Speed distance time. Speed time distance is one of the most heavily tested topics in the **CAT exam**. One can usually expect 3-4 questions from these ideas in the **CAT exam**. As a topic, it is very interesting as it can be relatable to real-life scenarios. If you are in a hurry then have a go at this question from CAT previous years' question paper before you leave. Maybe It could help you with how late you are going to be!

Question 19 : Leaving home at the same time, Amal reaches office at 10:15 am if he travels at 8kmph, and at 9:40 am if he travels at 15kmph. Leaving home at 9:10 am, at what speed, in kmph, must he travel so as to reach office exactly at 10:00 am?

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Speed are 8 km/hr and 15 km/hr

So it takes 15t times and 8t times

Difference of times = 15t – 8t = 7t

7t = 35 minutes (10:15 min – 9:40 min)

t = 5 minutes

He takes 75 minutes by travelling at 8 km/hr and 40 minutes if travelled at 15 km/hr

He starts at 9 am.

So, 9:10 to 10:00 = 50 minutes

15 km/hr = 40 min

And at what speed he should travel, so as to reach there within 50 minutes

\\frac{15 × 40}{50}) = 12 km/hr

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