SSC CGL MATHS QUIZ

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Question 1:

Sachin takes 50 minutes more than Prem to walk $35 \mathrm{~km}$. But if Sachin doubles his speed, he is ahead of Prem by $1 \frac{1}{2}$ hours. Sachin's speed is:

Question 2:

Raghu and Raghav start together to walk a certain equal distance at a speed of 12 km/h and 8 km/h, respectively. Raghu arrives 60 minutes before Raghav arrives. Find the distance between the start and the end point.

Question 3:

Two trains Vivek express and Vande Bharat start simultaneously in the opposite direction from two points Lucknow and Delhi respectively and meet at Etah after  $\mathrm{T}$ minutes and arrive at their destinations in 3 hour 45 minutes and 5 hours 24 minutes respectively. After their meeting each other Find out the value of  $\mathrm{T}$.

Question 4:

A boy went to his school at a speed of $12 \mathrm{~km} / \mathrm{hr}$ and returned to his house at a speed of $8 \mathrm{~km} / \mathrm{hr}$. If he has taken 50 minutes for the whole journey, what was the total distance walked?

Question 5:

Excluding stoppages, the speed of a bus is 60 km/h and including stoppages, it is 42 km/h. For how many minutes does the bus stop per hour?

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 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 8:

Anuj has to cover a distance of $320 \mathrm{~km}$ in 20 hours. If he covers $ 12.5 \%$ of the distance in $75 \%$ of the time, then what should be his speed (in $\mathrm{km} / \mathrm{h}$ ) to cover the remaining distance in the remaining time?

Question 9:

A car covers the first 41 km of its journey in 45 min and covers the remaining 23 km in 35 min. What is the average speed (in m/sec ) of the car ?

Question 10:

A and B started simultaneously and proceeded towards each other from places X and Y, respectively. After meeting each other at a certain point on the way, A and B took 3.2 hours and 1.8 hours to reach Y and X, respectively. If the speed of B was 12 km/h, then the speed of A (in km/h) was: