Train A travelling at 60 km/hr leaves Mumbai for Delhi at 6 pm. Train B travelling at 90 km/hr also leaves Mumbai for Delhi at 9 pm. Train C leaves Delhi for Mumbai at 9 pm. If all the three trains meet at the same time between Mumbai and Delhi, then what is the speed of train C if the distance between Delhi and Mumbai is 1260 km ?
A. 60 km/hr
B. 90 km/hr
C. 120 km/hr
D. 135 km/hr
Answer: Option C
Solution(By Examveda Team)
Suppose the three trains meet x hours after 9 pmLet the speed of train C be y km/hr
Distance travelled by train A in (x + 3) hrs = Distance travelled by train B in x hrs
⇒ 60 (x + 3) = 90x
⇒ 30x = 180
⇒ x = 6
⇒ Also, distance travelled by train B in x hrs + distance travelled by train C in x hrs = 1260 km
⇒ 90x + yx = 1260
⇒ 540 + 6y = 1260
⇒ 6y = 720
⇒ y = 120
Hence, speed of train C = 120 km/hr
Related Questions on Speed Time and Distance
A. 48 min.
B. 60 min.
C. 42 min.
D. 62 min.
E. 66 min.
A. 262.4 km
B. 260 km
C. 283.33 km
D. 275 km
E. None of these
A. 4 hours
B. 4 hours 30 min.
C. 4 hours 45 min.
D. 5 hours
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