Ram and Mohan starts at same time from A to B . After reaching at B they turned to their starting point and they meet at 15 km apart from B. If the difference between their speeds is 60 km/hr and A & B are 60 km apart then find the speed of faster one .
Answer & explanation
Correct answer: option 4
Ram travels 60 km/hr slower than Mohan
Let speed of Ram = A km/hr
Speed of Mohan =( A + 60 ) km/hr
Mohan reaches place B and turns back to meet Ram , 15 km from place B
So distance traveled by Mohan = 60 + 15 = 75 km
Distance traveled by Ram = 60 - 15 = 45 km
According to question ,
\(\frac{75}{A \; + \;60}\) = \(\frac{45}{A}\)
75A = 45A + 2700
30A = 2700 ⇒ A = 90
Speed of Mohan =( A + 60 ) km/hr = ( 90 + 60 ) = 150 km/hr