Question

A car traveling 95 km/h is 210 m behind a truck traveling 75 km/h. How long will it take the car to reach the truck?

Answer 1

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For Truck,
Let the Distance travel by truck is X km
Speed of the truck is 75 km/ hrs
Time = Distance/Speed
= x/75

Now for Car
Speed = 95 km / hrs
Distance to reach the truck is 0.21 + x
$time \: = \frac{distance}{speed} \\ = \frac{0.21 + x}{95}$
Since time is equal when Car reach truck
so
$\frac{x}{75} = \frac{0.21 + x}{95} \\ 95x = 75 \times 0.21 + 75x \\ 95x - 75x = 15.75 \\ 20x = 15.75 \\ x = \frac{15.75}{20} \\ x = 0.7875 hrs\\ x = 0.7875 \times 60 \: minutes \\ x = 47.25 \: min$
So The Car take 47.25 minutes to reach the truck


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