Multiple choice

A man travels 401 km partly by rail and partly by steamer. He spends 6 hours more time on steamer than on rail. If the velocity of the steamer is 21 km/hr and the velocity of rail is 56 km/hr, then how much distance does he cover by steamer?

  1. 241 km

  2. 302 km

  3. 201 km

  4. 362 km

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let t be the time on rail. Time on steamer = t + 6. Distance = 56t + 21(t+6) = 401. 56t + 21t + 126 = 401. 77t = 275. t = 275/77 = 25/7 hours. Distance by steamer = 21 * (25/7 + 6) = 21 * (67/7) = 3 * 67 = 201 km.