CAT 2020 Time, Speed and Distance Question (Hard)

Question

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?

Accepted Answer

Step 1 Speeds given 8 km hr and 15 km hr Step 2 Let proportionality factor t minutes Times taken 15t and 8t respectively Difference 15t 8t 7t Step 3 Given time difference 35 minutes 7t 35 t 5 minutes Step 4 Actual times - At 8 km hr 15 5 75 minutes - At 15 km hr 8 5 40 minutes Step 5 Journey start 9

CAT 2020

Quantitative

Time, Speed and Distance

Hard

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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