Question

Ramesh and Satish started from two towns P and
Q and travelled towards each other simultaneously
They met after 2 h. After the meeting. Ramesh
took 3 h less to reach Q than what Satish took to
reach P. Find the ratio of the speeds of Ramesh
and Satish.
(a) 3:1
(b) 2:1
(c) 3:2
(d) 4:3​

Answer 1

2:1  is ratio of the speeds of Ramesh and Satish

Step-by-step explanation:

Let say Speed of  Ramesh = R km/Hr

Speed of Satish = S km/Hr

They meet after  2 hr

Ramesh Travelled = 2R  km

Sathish Travelled = 2S  km

Ramesh has to travel now  2S  km

& Sathish has to travel now  2R  km

=> 2S/R  + 3  =  2R/S

=> 2S²  + 3SR = 2R²

=> 2S² + 4SR - SR - 2R² = 0

=> 2S(S + 2R) - R(S + 2R) = 0

=> (2S - R)(S + 2R) = 0

=> 2S - R = 0

=> R = 2S

=> R /S  = 2  : 1

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Answer 2

Step-by-step explanation:

1) Form the equations using given data

2) Let the speed of Ramesh and Satish x kmph and y kmph resp

3)They Travel 2x km and 2y km in 2 hrs

4) Solve equation

2x/y- 2y/x=3