Q: If a train of length 120 meters passes a man walking at 6 km/hr in the same direction in 12 seconds, what is the speed of the train?

$\frac{120}{12}$ m/s + 6$\times\frac{5}{18}$ m/s

Q: If a person covers a distance at 10 km/hr and returns at 15 km/hr, what is the average speed for the whole trip?

$\frac{2 \times 10 \times 15}{10 + 15}$ km/hr

Q: A train passes a man walking in the opposite direction at 4 km/hr in 10 seconds. If the train’s length is 100 meters, what is the speed of the train?

$\frac{100}{10} + 4 \times \frac{5}{18}$ m/s

Q: If a car travels half the distance at 40 km/hr and the other half at 60 km/hr, what is the average speed?

$\frac{2 \times 40 \times 60}{40 + 60}$ km/hr

Q: If the speed of a vehicle is reduced by $\frac{A}{B}$ times, what is the new time taken to cover the same distance?

$\frac{B}{A}$ \times$ original time

Question 1

A car travels 60 km at a speed of 30 km/hr and then 40 km at a speed of 20 km/hr. What is the average speed for the entire journey?

Accepted Answer

$\frac{60 + 40}{\frac{60}{30} + \frac{40}{20}}$ km/hr

Question 2

If two trains of equal length pass each other in opposite directions in $t_1$ seconds and in the same direction in $t_2$ seconds, what is the length of each train?

Accepted Answer

$\frac{2 t_1 t_2}{t_1 - t_2}$

Question 3

A boat travels downstream at 12 km/hr and upstream at 8 km/hr. What is the speed of the stream?

Accepted Answer

$\frac{12 - 8}{2}$ km/hr

Question 4

If a train of length 120 meters passes a man walking at 6 km/hr in the same direction in 12 seconds, what is the speed of the train?

Accepted Answer

$\frac{120}{12}$ m/s + 6$	imes\frac{5}{18}$ m/s

Question 5

Two people start from the same point and walk in opposite directions at speeds of 4 km/hr and 6 km/hr. How far apart will they be after 30 minutes?

Accepted Answer

$(4 + 6) 	imes 0.5$ km

Question 6

If the speed of a vehicle is increased from $x$ to $y$, and the distance remains constant, what is the ratio of the original time to the new time?

Accepted Answer

$\frac{x}{y}$

Question 7

A train passes a platform of length 80 meters in 20 seconds. If the train’s length is 120 meters, what is its speed?

Accepted Answer

$\frac{120 + 80}{20}$ m/s

Question 8

If a person covers a distance at 10 km/hr and returns at 15 km/hr, what is the average speed for the whole trip?

Accepted Answer

$\frac{2 	imes 10 	imes 15}{10 + 15}$ km/hr

Question 9

A train of length $L$ passes a pole in $t$ seconds. What is the speed of the train?

Accepted Answer

$\frac{L}{t}$ m/s

Question 10

If the time taken to travel upstream and downstream for equal distances are $d_1$ and $d_2$ respectively, what is the ratio of boat speed to stream speed?

Accepted Answer

$(d_1 + d_2):(d_1 - d_2)$

Question 11

If a runner beats another by $d$ meters in a race of $x$ meters, what is the speed ratio?

Accepted Answer

$x:(x-d)$

Question 12

A train passes a man walking in the opposite direction at 4 km/hr in 10 seconds. If the train’s length is 100 meters, what is the speed of the train?

Accepted Answer

$\frac{100}{10} + 4 	imes \frac{5}{18}$ m/s

Question 13

If the speed of a boat in still water is $x$ and the speed of the stream is $y$, what is the time taken to cover a distance $d$ upstream?

Accepted Answer

$\frac{d}{x-y}$

Question 14

Two trains of lengths $L_1$ and $L_2$ pass each other in opposite directions in $t$ seconds. What is their relative speed?

Accepted Answer

$\frac{L_1 + L_2}{t}$

Question 15

If a car travels half the distance at 40 km/hr and the other half at 60 km/hr, what is the average speed?

Accepted Answer

$\frac{2 	imes 40 	imes 60}{40 + 60}$ km/hr

Question 16

If the speed of a vehicle is reduced by $\frac{A}{B}$ times, what is the new time taken to cover the same distance?

Accepted Answer

$\frac{B}{A}$ 	imes$ original time

Comprehensive Study Notes: Time, Speed, and Distance (TSD) Concepts and Applications

Study Guide - Practice Questions

Study Guide - Flashcards