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Answers
Answer:
Correct Question:
A car started from town P at 70 km/hr towards town Q.
At the same time can starts from town Q at speed 60 km/hr towards Town P
After 2¾ hrs = 11/4 hours, they are still 65 km aparts.
To find:
1. Distance between the towns
2. When they will cross each other.
Calculation:
Distance covered by car :
D1 = 70 × 11/4 = 192.5 km
Distance covered by van :
D2 = 60 × 11/4 = 165 km
Hence distance between 2 towns
= D1 + D2 + 65
= 192.5 + 165 + 65
= 422.5 km
2nd part:
Let us consider that the car meets after travelling distance "x" . Hence the van meets the car after travelling "422.5 - x "
But the time taken to cover these distances is same.
Time by car = Time by van
X/70 = (422.5 - x)/60
=> 60x = (422.5 × 70) - 70x
=> 130x = 422.5 × 70
=> 13x = 422.5 × 7
=> x = (422.5 × 7)/13 .........(1)
So the time taken
= x/70
= (422.5 × 7)/(13 × 70)
= 42.25/13
= 3.25 hours.
So they will meet after 3.25 hours.
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