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 .

150 km/hr

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