SSC MTS MATHS QUIZ

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Question 1:

A car covers $\frac{1}{5}$ of the distance from $A$ to $B$ at the speed of $8 \mathrm{~km} / \mathrm{h}$ and $\frac{1}{10}$ of the distance at the speed of $25 \mathrm{~km} / \mathrm{h}$ and the remaining at the speed of $20 \mathrm{~km} / \mathrm{h}$. Find the average speed of the whole journey:

Question 2:

A car runs first 275 km at an average speed of 50 km/h and the next 315 km at an average speed of 70 km/h. What is the average speed (in km/h) for the entire journey?

Question 3:

A plane left $1 \mathrm{hr}$ later than the scheduled time and in order to reach the destination which is $3000 \mathrm{~km}$ away in time, it had to increase the speed by $250 \mathrm{~km} / \mathrm{h}$ from the usual speed. Find its usual speed.

Question 4:

The ratio of the speed of two trains is 3 : 8. If the first train travels 300 km in 5 hours, then what is the sum of the speeds (in km/h) of both the trains?

Question 5:

A delivery boy started from his office at 10 a.m. to deliver an article. He rode his scooter at a speed of $32 \mathrm{~km} / \mathrm{h}$. He delivered the article and waited for 15 minutes to get the payment. After the payment was made, he reached his office at $11.25$ a.m., travelling at a speed of $24 \mathrm{~km} / \mathrm{h}$. Find the total distance travelled by the boy.

Question 6:

A boat running downstream covers a distance of 16 Kms. in 2 hours while for covering the same distance upstream, it takes 4 hours. Find the speed of boat in still water.

Question 7:

A cyclist covers a distance of 14km in 25 minutes. How much distance will he cover in 18 minutes (in km).

Question 8:

A train running at $54 \mathrm{~km} / \mathrm{h}$ crosses a pole in 20 seconds. How much time (in seconds) will it take to cross a bridge $375 \mathrm{~m}$ long?

Question 9:

Car I covers a distance in a certain time. Car II takes double the time to cover half the same distance. Find the ratio of their respective speeds.

Question 10:

A person covered a distance of $245 \mathrm{~km}$ by scooter in 7 hours. If he drives the electric cycle with the speed $\frac{3}{7}$ of the scooter, then how much distance (in $\mathrm{km}$) will it cover in 4 hours?