Time, Speed and Distance

CDS Maths. Try each one first, then open its answer.

Top 10 CDS PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

Question 1
This type asked 5 times: CDS 2 2016, CDS 2 2017, CDS 1 2018, CDS 1 2022, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type
94 $A cyclist pedals from her house to her office at a speed of 3 kmph and back from the office to her house at 6 kmph. What is the average speed ?$
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Question 2
This type asked 5 times: CDS 2 2016, CDS 2 2017, CDS 2 2021, CDS 1 2023, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type
24 $A boatman can row to a place (Y) at a distance of 24 km from the starting point (X) and back in 14 hours. If he can row 4 km with the stream in the same time as 3 km against it, what is the speed of the stream ?$
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Question 3
This type asked 5 times: CDS 1 2020, CDS 2 2020, CDS 1 2022, CDS 2 2022, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type
14 $Had I walked 0.5 km/hr faster, I would have taken 8 minutes less to walk 2 km. What is my original speed ?$
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Question 4
This type asked 5 times: CDS 1 2017, CDS 2 2018, CDS 2 2022, CDS 1 2024, CDS 2 2025. This one: CDS 2 2025 See all 5 of this type
52 $X$
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Question 5
This type asked 4 times: CDS 1 2017, CDS 2 2023, CDS 2 2025, CDS 2 2026. This one: CDS 2 2026 See all 4 of this type
6 $A train completely crossed two persons X and Y moving in the same direction as the train in 8 seconds and 8.1 seconds respectively. X is walking at a uniform speed of 3 km/hr and Y is walking at a uniform speed of 4 km/hr. What is the speed of the train ?$
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Question 6
This type asked 4 times: CDS 2 2016, CDS 1 2020, CDS 1 2021, CDS 1 2025. This one: CDS 1 2025 See all 4 of this type
46 $3/5^{\text{th}}$
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Question 7
This type asked 4 times: CDS 2 2017, CDS 2 2018, CDS 2 2019, CDS 1 2021. This one: CDS 1 2021 See all 4 of this type
34 $A train travels 600 km in 5 hours and the next 900 km in 10 hours. What is the average speed of the train?$
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Question 8
This type asked 4 times: CDS 1 2018, CDS 2 2018, CDS 2 2020, CDS 1 2021. This one: CDS 1 2021 See all 4 of this type
29 $A train 200 m long passes a platform 100 m long in 10 seconds. What is the speed of the train?$
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Question 9
This type asked 3 times: CDS 1 2018, CDS 1 2023, CDS 2 2024. This one: CDS 2 2024 See all 3 of this type
9 $X$
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Question 10 (case study, 3 parts)
This type asked 3 times: CDS 1 2017, CDS 2 2022, CDS 1 2024. This one: CDS 1 2024 See all 3 of this type
Consider the following for the next three (03) items that follow : Two trains A and B started from stations P and Q respectively towards each other. Train A started at 7 p.m. at a speed of 60 km/hr and train B started at 4 a.m. (next day) at a speed of 90 km/hr. The distance between the two stations P and Q is 800 km.
73 $How far from station Q will the two trains meet ?$
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74 $At what time will the two trains meet ?$
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75 $If the lengths of the two trains A and B are 400 m and 500 m respectively, then what is the time taken by them to cross each other ?$
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Time, Speed and Distance

Top 10 CDS PYQs to practise first

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10 (case study, 3 parts)