time and distance Model Questions & Answers, Practice Test for ibps clerk prelims 2023
ibps clerk prelims 2023 SYLLABUS WISE SUBJECTS MCQs
Ratio & Proportion
Percentages
Profit & Loss
Time & Work
Time & Distance
Simple Interest & Compound Interest
Mensuration: Area & Volumes
Algebraic Expressions
Trigonometric Ratios & Identity
Linear Equations
Quadratic Equations
Logarithm
A train speeds past a pole in 15 seconds and speeds past a platform 100 metres long in 25 seconds. Its length in metres is ________ .
Answer: (b)
Let the length of the train = x m
Then, speed of the train = $x/{15} = {x + 100}/{25}$
or, 25x = 15x + 1500 or, 10x = 1500
∴ x = 150 m
A boy rows a boat against a stream flowing at 2 kmph for a distance of 9 km, and then turns round and rows back with the current. If the whole trip occupies 6 hours, find the boy's rowing speed in still water.
Answer: (c)
Let the speed of rowing be X. Then the equation formed
is $9/{X-2}+9/{X+2}=6.$
On solving, we get the value of X as 4.
A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph respectively and passes them completely in 9 and 10 seconds respectively. The length of the train is _________ metres.
Answer: (b)
Let the length of train = x m.
We know that, when train and man are moving in the same direction relative speed = Speed o Train – Speed of Man
∴ Speed of train = Relative speed + Speed of man
Now,
Speed of train in two cases = $x/9 + 2(5/18) = x/{10} + 4(5/18)$
or, $x/9 - x/{10} = {10}/9 - 5/9 or, x/{90} = 5/9$
∴ x = $5/9$ × 90 = 50 m.
The wheel of an engine 4$2/7$ metres in circumference makes seven revolutions in 4 seconds. Find the speed of the train in km per hour.
Answer: (c)
Distance covered in 4 seconds = ${30}/7$ × 7 metres
∴ Speed in m/s = ${30}/4$
∴ Speed in km/hr = ${30}/4 × {18}/5$ = 27 km/hr
The ratio between the speed of a train and a car is 18 : 13 . Also, a bus covered a distance of 480 kms. in 12 hours. The speed of the bus is five-ninth the speed of the train. How much distance will the car cover in 5 hours ?
Answer: (b)
Speed of bus
= $480/12$ = 40 km/hr
Speed of train
= $40×9/5$ = 72 km/hr
Speed of car
= $72/18×13 = 52$km/hr
Distance covered by car
= 52 × 5 = 260 km
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