Question

Distance between two towns P and Q is 240 kilometre. a motorcycle Rider start from P to Q at 8:00 p.m. at a speed of 40 kilometre per hour.at the same time another motor cycle rider starts from q towards p at 50km per hour . at what time will ther meet?

Answer 1

Answer:

10:40 p.m

Step-by-step explanation:

The distance between P & Q = 240 km

The time at which the two motorcyclist started their ride = 8:00 p.m

The speed of motorcyclist who started from point P to Q = 40 kmph

The speed of motorcyclist who started from point Q to P = 50 kmph

Let the both motorcyclist meet at distance x from point P.

We know ,

time = $\frac{distance}{speed}$  =  $\frac{x }{40} = \frac{240 - x}{50}$

⇒ 50 x = 9600 - 40 x.

⇒ 90 x = 9600

⇒ x = 960/9

⇒ 240 - ( 960/9) = 400 /3

⇒$\frac{960}{9 * 40}$ = time = 8 /3 hour.

The time at which they meet =  8 :00 p.m + 8 /3 = 10:40 p.m