SSC MTS MATHS QUIZ

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Question 1:

A boat can go 10 km upstream and 11 km downstream in a total time of 52 minutes. If the speed of the stream is 5 km/h, then what is the speed (in km/h ) of the boat when going downstream ?

Question 2:

A person rows upstream a distance of $65 \mathrm{~km}$ in 5 hours and rows downstream a distance of $57 \mathrm{~km}$ in 3 hours. How much time will he take to row a distance of $72 \mathrm{~km}$ in still water?

Question 3:

$A$ and $B$ are two points in a river. Points $C$ and D divide the straight line AB into 3 equal parts. The river flows along AB and the time taken by a boat to row from $\mathrm{A}$ to $\mathrm{D}$ and from $\mathrm{B}$ to $\mathrm{D}$ are in the ratio $4: 5 .$ The ratio of the speed of the boat and that of the river stream is equal to:

Question 4:

The speed of motorboat in still water is $40 \mathrm{~km} /$ h. It travels $300 \mathrm{~km}$ downstream and then returns to the starting point. If the round trip takes a total of 16 hours. What is the speed of the stream of the river?

Question 5:

A boat can cover a distance of $72 \mathrm{~km}$ downstream and $32 \mathrm{~km}$ upstream in 20 hours. It can also cover $15 \mathrm{~km}$ downstream and 6 km upstream in 4 hours. What is the speed of boat when going downstream (in $\mathrm{km} / \mathrm{h}$ )?

Question 6:

A boat covers 40 km in 8 hours along the current and 18 km in 6 hours against the current. What is the speed of the current?

Question 7:

A boat goes 24 km upstream in 6 hours and travels the same distance downstream in 144 minutes. What is the speed of the current?

Question 8:

A boat takes 14 minutes to travel $8.4 \mathrm{~km}$ upstream. If the ratio of the speed of the boat to that of the stream is $6: 1$, then how much time (in minutes) will the boat take to travel $33.6 \mathrm{~km}$ downstream?

Question 9:

A man rows down a river 30 km in 6 hrs with the stream and returns in 10 hrs. The speed at which he rows in still water is:

Question 10:

A man takes 2 hours to swim 25 km downstream. He swims 19 km upstream in the same time. What is the speed (in km/hr ) of the current ?