SSC CGL MATHS QUIZ

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Question 1:

A train covers some part of a distance of $560 \text{ km}$ at $40 \text{ km/h}$ and the rest at $160 \text{ km/h}$ in $9$ hours and $30$ minutes. What is the total distance (in km) covered by the train at $40 \text{ km/h}$?

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:

A $480 \mathrm{~m}$ long train overtakes a man walking at $12 \mathrm{~km} / \mathrm{hr}$ in the same direction, in 18 second. How much time (in sec.) will it take to pass a $372 \mathrm{~m}$ long bridge with the same speed?

Question 4:

The speed of $A$ is $20 \mathrm{~km} / \mathrm{h}$ more than the speed of $B$. The time that A takes to travel a distance of $300 \mathrm{~km}$ is 2 hours less than the time that B takes of travel a distance of $240 \mathrm{~km}$. What is the speed (in $\mathrm{km} / \mathrm{h}$ ) of A?

Question 5:

One morning Vaidehi went from her home to office on a bicycle at a speed of $15 \mathrm{~km} / \mathrm{hr}$ but due to heavy traffic her return speed was $10 \mathrm{~km} / \mathrm{hr} $ been. What was the average speed for the two-way journey?

Question 6:

A train travels from Delhi to Meerut and another train comes from Meerut to Delhi. After they cross each other, both the trains reach their respective destinations in 25 hours and 36 hours respectively if the speed of the first train is 60 km/h then find the speed of the second train?

Question 7:

A certain distance is covered at a certain speed. If half of this distance is covered in double the time, the ratio of the two speeds is:

Question 8:

While covering a distance of $24 \mathrm{~km}$, a man noticed that after walking for $1 \mathrm{~h}$ $20 \mathrm{~min}$, the distance covered by him was $\frac{7}{11}$ of the remaining distance. What was his speed?

Question 9:

Due to inclement weather, an Aeroplane reduced its speed by $150 \mathrm{~km} /$ hour and reached the destination of $2600 \mathrm{~km}$ late by 72 minutes. what is the scheduled duration of flight? (in hour)

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?