Question : Directions: A motorist and a scooterist made a journey of 120 km at the same time and from the same place. The graph shows the progress of the journey made by each person. Study the graph and answer the questions. The scooterist completes the journey in (hours):
Option 1: $3$
Option 2: $2$
Option 3: $2\frac{1}{2}$
Option 4: $3\frac{1}{2}$
Correct Answer: $2\frac{1}{2}$
Solution : The scooterist starts his journey at 9:00 am. He completes his journey at 11:30 am. Time difference = 11:30 am – 9:00 am = 2 hours 30 minutes = $2\frac{1}{2}$ hours Hence, the correct answer is $2\frac{1}{2}$.
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Question : A car completed a journey of 400 km in $12\frac{1}{2}$ hours. The first $\frac{3}{4}$th of the journey was done at 30 km/hr. Calculate the speed for the rest of the journey.
Question : A boat can travel 104 km downstream in 8 hours. If the speed of the stream is 2 km/hr, then at what time will it be able to cover 13 km upstream?
Question : A car covers a particular distance in 3 hours with a speed of 54 km/hr. If the speed is increased by 27 km/hr, the time taken by the car to cover the same distance will be:
Question : Motorcyclist P started his journey at a speed of 30 km/h. After 30 minutes, motorcyclist Q started from the same place but with a speed of 40 km/h. How much time (in hours) will Q take to overtake P?
Question : A boat covers 24 km upstream and 36 km downstream in 6 hours, while it covers 36 km upstream and 24 km downstream in $6\frac{1}{2}$ hours. The speed of the current is:
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