Question : The driver of a car, which is travelling at a speed of 75 km/hr, locates a bus 80 m ahead of him, travelling in the same direction. After 15 seconds, he finds that the bus is 40 m behind the car. What is the speed of the bus (in km/hr)?
Option 1: 44.2
Option 2: 42.5
Option 3: 47.5
Option 4: 46.2
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Correct Answer: 46.2
Solution : Let the speed of the bus be $x$ km/hr. Speed of car = 75 km/hr Their relative speed = $(75 - x)$ km/hr Total distance covered in 15 sec = (80 + 40) = 120 m According to the question, $ (75-x)\times\frac{5}{18} = \frac{120}{15}$ $\Rightarrow (75-x)\times \frac{5}{18} = 8$ $\Rightarrow 375-5x=144$ $\Rightarrow 5x= 231$ $\therefore x =46.2$ km/hr Hence, the correct answer is 46.2 km/hr.
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Question : A person covers a certain distance by bus at 45 km/hr and immediately returns to the starting point by car at a speed of 80 km/hr. What is his average speed during the whole journey?
Option 1: 57.6 km/hr
Option 2: 63.2 km/hr
Option 3: 73.5 km/hr
Option 4: 45.5 km/hr
Question : A car travels the first 160 km at a speed of 64 km/hr and the next 160 km at a speed of 80 km/hr. What is the average speed for the first 320 km of the tour?
Option 1: 70 km/hr
Option 2: 71.11 km/hr
Option 3: 66 km/hr
Option 4: 75.32 km/hr
Question : A car covers a certain distance in 25 hours. If it reduces the speed by $\frac{1}{5}$th, the car covers 200 km less in that time. The speed of the car is:
Option 1: 60 km/hr
Option 2: 30 km/hr
Option 3: 40 km/hr
Option 4: 50 km/hr
Question : A car can finish a certain journey in 10 hours at a speed of 42 km/hr. In order to cover the same distance in 7 hours, the speed of the car (km/hr) must be increased by:
Option 1: 12 km/hr
Option 2: 15 km/hr
Option 3: 18 km/hr
Option 4: 24 km/hr
Question : Reshma covers 45 km at a speed of 15 km/hr by bicycle, 80 km at a speed of 40 km/hr by car, and another 6 km at a speed of 2 km/hr on foot. Find her average speed for the whole journey (correct to 2 decimal places).
Option 1: 16.38 km/hr
Option 2: 43.50 km/hr
Option 3: 18.36 km/hr
Option 4: 15.25 km/hr
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