Suman travels from place X to Y and Rekha travels from Y to X, simultaneously. After meeting on the way, Suman and Rekha reach Y and X, in 3 hours 12 minutes and one hour 48 minutes, respectively. If the speed of Rekha is 9 km/h, then the speed (in km/h) of Suman is:
Answer & explanation
Correct answer: option 4
\(\frac{S1}{S2}\)2 = \(\frac{T2}{T1}\)
Let the speed of Suman be S1
According to the question
\(\frac{S}{9}\)2 = \(\frac{9 × 5}{16 ×5 }\)
\(\frac{S}{9}\)2 = \(\frac{9 }{16 }\)
\(\frac{S}{9}\) = \(\frac{3 }{4 }\)
4S = (9 × 3)
4S = 27
S = \(\frac{27}{4}\)
S = 6\(\frac{3}{4}\) km/h
So , The speed of Suman is = 6\(\frac{3}{4}\) km/h