Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously leaves one another for P. they meet at the end of 6 hours. If the former train travels 8 km/h faster than the other, the speed of train from Q is?
A. 8 and 1/2 km/h
B. 12 and 5/6 km/h
C. 9 and 1/2 m km/h
D. 10 and 5/6 km/h
Answer: Option C
Solution (By Examveda Team)
Let the speed of the train from Q be X km/hrThen the speed of the train from P is ( X+8 ) km/hr
They meet each other at M after 6 hours travel
PM + MQ = 162 km
6 ( X + 8 ) + 6X = 162 km
12X + 48 = 162
12X = 162 - 48
12X = 114
X = 114/12
9 (1/2) km/hr
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Thank you so much
if we let speed of car x then why the other speed will be x+8??
Thank you guys.
Let the speed of the train from Q be X km/hr
Then the speed of the train from P is ( X+8 ) km/hr
They meet each other at M after 6 hours travel
PM + MQ = 162 km
6 ( X + 8 ) + 6X = 162 km
12X + 48 = 162
12X = 162 - 48
12X = 114
X = 114/12
9 1/2 km/hr
Ans. C
9 and 1/2 km/h