Time Speed and Distance Aptitude Questions and Answers.
Number of Questions:
10 Questions with Solutions.
A boat goes downstream at the speed of \(25 \ km/hr\). If the speed of stream is \(12 \ km/hr\), then find the speed of boat in still water?
\(11 \ km/hr\)
\(12 \ km/hr\)
\(13 \ km/hr\)
\(14 \ km/hr\)
Answer: (c) \(13 \ km/hr\)Solution: Given, speed of downstream \((D_s) = 25 \ km/hr\)speed of stream \((S_s) = 12 \ km/hr\)then speed of boat in still water, $$ B_s = D_s - S_s $$ $$ B_s = 25 - 12 = 13 \ km/hr $$
A swimmer goes downstream with the, speed of stream \(14 \ km/hr\). If speed of the swimmer in still water is \(28 \ km/hr\), then find the speed of downstream?
\(40 \ km/hr\)
\(42 \ km/hr\)
\(44 \ km/hr\)
\(45 \ km/hr\)
Answer: (b) \(42 \ km/hr\)Solution: Given, speed of stream \((S_s) = 14 \ km/hr\)speed of swimmer in still water \((B_s) = 28 \ km/hr\)then speed of downstream, $$ B_s = D_s - S_s $$ $$ 28 = D_s - 14 = 42 \ km/hr $$
A boat goes downstream with the speed of \(40 \ km/hr\). If the speed of boat in still water is \(30 \ km/hr\), then find the speed of stream?
\(10 \ km/hr\)
\(12 \ km/hr\)
\(13 \ km/hr\)
\(14 \ km/hr\)
Answer: (a) \(10 \ km/hr\)Solution: Given, speed of downstream \((D_s) = 40 \ km/hr\)speed of boat in still water \((B_s) = 30 \ km/hr\) then, $$ B_s = D_s - S_s $$ $$ 30 = 40 - S_s $$ $$ S_s = 10 \ km/hr $$
A girl swims \(30 \ km\) downstream in \(1 \ hour\). If the speed of stream is \(5 \ km/hr\), then find the speed of the girl in still water?
\(20 \ km/hr\)
\(22 \ km/hr\)
\(25 \ km/hr\)
\(27 \ km/hr\)
Answer: (c) \(25 \ km/hr\)Solution: Given, speed of downstream \((D_s) = \frac{30}{1} = 30 \ km/hr\)speed of stream \((S_s) = 5 \ km/hr\)then speed of girl in still water, $$ B_s = D_s - S_s $$ $$ B_s = 30 - 5 = 25 \ km/hr $$
A boat goes upstream with the speed of \(18 \ km/hr\). If speed of stream is \(5 \ km/hr\), then find the speed of boat in still water?
\(23 \ km/hr\)
\(22 \ km/hr\)
\(21 \ km/hr\)
\(20 \ km/hr\)
Answer: (a) \(23 \ km/hr\)Solution: Given, speed of upstream \((U_s) = 18 \ km/hr\)speed of stream \((S_s) = 5 \ km/hr\)then speed of boat in still water, $$ B_s = U_s + S_s $$ $$ B_s = 18 + 5 = 23 \ km/hr $$
A boat goes \(70 \ km\) upstream, taking \(2 \ hours\). If the speed of stream is \(20 \ km/hr\), then find the speed of boat in still water?
\(52 \ km/hr\)
\(53 \ km/hr\)
\(54 \ km/hr\)
\(55 \ km/hr\)
Answer: (d) \(55 \ km/hr\)Solution: Given, speed of upstream \((U_s) = \frac{70}{2} = 35 \ km/hr\)speed of stream \((S_s) = 20 \ km/hr\)then speed of boat in still water, $$ B_s = U_s + S_s $$ $$ B_s = 35 + 20 = 55 \ km/hr $$
If a boat goes \(12 \ km\) downstream in \(36 \ minutes\) and the speed of boat in still water is \(8 \ km/hr\), then find the speed of stream?
\(10 \ km/hr\)
\(12 \ km/hr\)
\(13 \ km/hr\)
\(15 \ km/hr\)
Answer: (b) \(12 \ km/hr\)Solution: Given, speed of downstream \((D_s) = \frac{12}{36} \times 60 = 20 \ km/hr\)speed of boat in still water \((B_s) = 8 \ km/hr\)then speed of stream, $$ B_s = D_s - S_s $$ $$ 8 = 20 - S_s $$ $$ S_s = 12 \ km/hr $$
If a man can swim upstream at the speed of \(7 \ km/hr\) and speed of stream is \(3 \ km/hr\), then find the speed of man in still water?
\(15 \ km/hr\)
\(13 \ km/hr\)
\(12 \ km/hr\)
\(10 \ km/hr\)
Answer: (d) \(10 \ km/hr\)Solution: Given, speed of upstream \((U_s) = 7 \ km/hr\)speed of stream \((S_s) = 3 \ km/hr\)then speed of the man in still water, $$ B_s = U_s + S_s $$ $$ B_s = 7 + 3 = 10 \ km/hr $$
A women can swim \(18 \ km\) downstream in \(10 \ minutes\). If the speed of stream is \(80 \ km/hr\), then find speed of the women in still water?
\(28 \ km/hr\)
\(25 \ km/hr\)
\(24 \ km/hr\)
\(22 \ km/hr\)
Answer: (a) \(28 \ km/hr\)Solution: Given, speed of downstream \((D_s) = \frac{18}{10} \times 60 = 108 \ km/hr\)speed of stream \((S_s) = 80 \ km/hr\)then speed of the women in still water, $$ B_s = D_s - S_s $$ $$ B_s = 108 - 80 = 28 \ km/hr $$
A boat goes upstream with the speed of \(30 \ km/hr\). If the speed of boat in still water is \(45 \ km/hr\), then find the speed of stream?
\(12 \ km/hr\)
\(13 \ km/hr\)
\(14 \ km/hr\)
\(15 \ km/hr\)
Answer: (d) \(15 \ km/hr\)Solution: Given, speed of upstream \((U_s) = 30 \ km/hr\)speed of boat in still water \((B_s) = 45 \ km/hr\)then speed of stream, $$ B_s = U_s + S_s $$ $$ 45 = 30 + S_s $$ $$ S_s = 15 \ km/hr $$