Question

. P and Q are 27 km away. Two trains running
at the speed of 24 km/hr and 18 km/hr
respectively start simultaneously from P.and Q and
travel in the same direction. They meet at a point
R beyond Q. Distance QR is
(a) 126 km (b) 81 km
(c) 48 km (d) 36km​

Answer 1

Answer:

Option b is correct.

Step-by-step explanation:

Given:

Distance between P and Q = 27 km

Speed of train from P = 24 km/hr

Speed of train from Q = 18 km/hr

To find: Distance QR

Point R is beyond point Q.

Both trains starting at same point.

⇒ Trains take equal time to reach At point Q.

let x be the Distance QR

According tot the Question,

$\frac{x}{18}=\frac{27+x}{24}$

24x = 18 ( 27 + x )

24x = 486 + 18x

6x = 486

x = 486/6

x = 81

Therefore, Option b is correct.