(C) 145 km
(0)
35. If two trains leave Jalandhar for Delhi at
8:00 am and 10 : 30 am, respectively
and travel at 150 km/h and 180 km/h,
respectively. How many kilometres from
Jalandhar will the two trains meet?
(a) 2150 km
(b) 2350 km
(c) 2250 km
(d) 2500 km
Answers
Answer:
Option c is 101 percent correct.
Step-by-step explanation:
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The answer is option (c) 2,250 km
GIVEN
Two trains leave Jalandhar for Delhi at
8:00 am and 10 : 30 am, respectively
and travel at 150 km/h and 180 km/h,
respectively.
TO FIND
How many kilometres from Jalandhar will the two trains meet?
SOLUTION
We can simply solve the above problem as follows;
Speed of first train = 150 km/hr
Time at which the first train leaves = 8 am
Time at which the second train leaves = 10:30 am
Time taken by the second train to start its journey = After 2.5 hours.
Distance travelled by first train in 2.5 hours = 150 × 2.5 = 375 km
Now,
The second train is travelling in the same direction. So the relative speed of second train = 180 - 150 = 30km/hr
Time taken by second train to cover the distance of 375 km with a relative speed of 30km/hr = 375/30
= 12.5 hrs
Therefore,
The second train will meet the first train after 12.5 hours
Distance covered in 12.5 hours = 12.5 × 180 = 2,250 km
Hence, The answer is option (c) 2,250 km