UP SI MATHS QUIZ

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Question 1:

A takes 2 hours 30 minutes more than $B$ to walk $40 \mathrm{~km}$. If a doubles his speed, then he can make it in 1 hour less than B. How much time (in hours) does A require for walking a 40 km distance?

Question 2:

A train takes 1 hour and 12 minutes to cover a certain distance at a speed of $80 \mathrm{~km} / \mathrm{h}$. If the speed is increased by $25 \%$, then how much time (in hours) will it take to cover $\frac{25}{3}$ of the distance?

Question 3:

The distance between two points is covered with a speed of $60 \mathrm{~km} / \mathrm{h}$ while on the way and $40 \mathrm{~km} / \mathrm{h}$ during the return journey. If it took a total of 5 hours, then what is the distance between the two points on one side?

Question 4:

A journey of 900 km is completed in 11 h. If two-fifths of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?

Question 5:

A train is to cover $420 \mathrm{Km}$ at a uniform speed. After running $120 \mathrm{~km}$, the train could run at a speed $10 \mathrm{Km} / \mathrm{h}$ less than its normal speed due to some technical fault. The train got delayed by 25 minutes. What is the normal speed of the train, in $\mathrm{km} / \mathrm{h}$ ?

Question 6:

Two trains running in opposite direction cross a man standing on the platform in 30 seconds and 18 seconds respectively and they cross each other in 21 seconds. Ratio of their speed is:

Question 7:

A man traveled a distance of $140 \mathrm{~km}$ in 8 hours. partly on bus at $13 \mathrm{~km} / \mathrm{hr}$ speed and partly on train at $19 \mathrm{~km} / \mathrm{hr}$. What is the Distance traveled on train? (in $\mathrm{km}$)

Question 8:

The distance of a place is 3.5 miles. B starts 4.5 minutes after A starts. B meets A coming back from destination X at a distance X, X is 1 mile away from the destination where A takes 6 minutes to reach, then how long will it take for B to travel from X to destination?

Question 9:

Two cyclists start from the same place in opposite directions. One goes towards north at a speed of 14 km/hr and the other goes towards south at a speed of 24 km/hr. What time will they take to be 47.5 km apart ?

Question 10:

A 320 meter long train moving with an average speed of $120 \mathrm{~km} / \mathrm{h}$ crosses a platform in $24 \mathrm{~s}$. A man crosses the same platform in $4 \mathrm{~min}$. What is the speed of man in meter/second?