2⃣Two trains leave Pune for Agra at 7.00 pm and 8.00 pm respectively and travel at 48 kmph and 63 kmph respectively. How many kilometers from Pune will the two trains meet?
Answers
Answer:
The Trains will meet after 201.6 km from Pune
Step-by-step explanation:
Let the trains meet at 'x' km
Time taken by the 1st Train be T1 and its speed be 48 km/h and Time taken by the 2nd Train be T2 and its speed be 63 km/h.
Now,
Train 1 starts at 7.00 pm and Train 2 starts at 8.00 pm
So, Train 2 starts 1 hour late than Train 1
So, Train 1 takes more time to cover x km because its speed is less whereas Train 2 takes less time to cover x km because its speed is high.
So,
T1 - T2 = 1 hr ----- 1
We know that,
Time = Distance/Speed
So,
T1 = x/48
and T2 = x/63
According to eq.1
T1 - T2 = 1
(x/48) - (x/63) = 1
(63x - 48x)/(48 × 63) = 1
15x/3024 = 1
15x = 1 × 3024
15x = 3024
x = 3024/15 = 201.6 km
So, the trains will meet after 201.6 km from Pune
Hope it helped and you understood it........All the best