Question

Two friends start at the same time from cities P and Q towards cities to Q and P respectively. After meeting at some point between P and Q,they reach their destination in 54 and 24 minutes respectively. In what time did the one who moved from Q to P complete his journey?

need explained ans​

Answer 1

Answer:

N will take 60 mins to complete the entire journey from Q to P.

Step-by-step explanation:

Let the two friends be “M” who will be travelling from P to Q and “N” who will be travelling from Q to P.

Let us consider the speed of M be “x” and the speed of N be “y”. Also, let them meet after “t” minutes.

Case 1: Before M & N meets each other

Distance travelled by M = x * t

Distance travelled by N = y * t

Case 2: After M & N crosses each other

Distance travelled by M = x * 54

Distance travelled by N = y * 24

Now,  

(Distance travelled by M & N before meeting each other) = (Distance travelled by M & N after crossing each other)

∴ x * t = x * 54 ….. (i)

And, y * t = y * 24 …. (ii)

Multiplying equation (i) & (ii), we get

xy * t² = xy * 54 * 24

or, t² = 1296

or, t = 36

Since we are required to find the time taken by N to travel the entire journey from city Q to P, therefore, N would take 36 + 24 = 60 minutes to complete his entire journey.