Discussion
Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after travelling for one hour. If both the cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?
Answer: C
Car Q stopped for 15 minutes.
By 11:30 AM, car P has travelled for 1.5 hours at 25 km/h, which is 37.5 km. Car Q must also be 37.5 km from X. In its first hour it covered 30 km, so it needed another 7.5 km, which takes \(7.5/30\) h = 15 minutes at 30 km/h.
Between 11 AM and 11:30 AM there are 30 minutes; 15 were spent driving, so 15 were spent stopped. 10, 12 and 18 minutes would leave Q at 40, 39 or 36 km instead of 37.5 km.
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