A bus travels 50% faster than a car. Both start moving at the same time from station P and reach station Q at the same time. The stations are 100 km apart. If on the way the bus stops at the bus stop for 10 minutes, find the speed of the car.
Answer & explanation
Correct answer: option 1
The correct answer of the question is in the option: (1)
50% = \(\frac{1}{2}\)
Ratio of speed of Bus to car = 3 : 2
We know,
Speed = \(\frac{Distance}{Time}\)
{ Speed is inversely proportional to time )
So, ratio of time taken by Bus to car = 2 : 3
Here,
Time taken by car = 3R
Time taken by bus = 2R + stoppage time
ATQ,
3R - 2R = 10 min
1R = 10 min
Time taken by car = 3 × 10 = 30 minutes
Speed of car = \(\frac{100}{30}\) × 60 = 200 km/hr