Arithmetic aptitude :: Time and Distance :: General Questions

• Time and Distance - General Questions
• Time and Distance - Data Sufficiency 1
• Time and Distance - Important Formulas and Facts

1. Speed $=\left(\frac{Distance}{Time}\right)$, Time $=\left(\frac{Distance}{Speed}\right)$, Distiance $=(Speed\times Time)$

2. $x$ km/hr $=\left(x\times\frac{5}{18}\right)$ m/sec

3. $x$ m/sec $=\left(x\times\frac{18}{5}\right)$

4. If speed ratios of X and Y is $x:y$, then the time ratio by them to cover same distance $=\frac{1}{x}:\frac{1}{y}$ or $y:x$

5. Suppose an object covers a certain distance at $x$ km/hr and an equal distance at $y$ km/hr. Then, the average speed of during the

whole travel is $\left(\frac{2xy}{x+y}\right)$ km/hr.

In 1760 m Race, A can beat B by 44 m. While in a 1320 m, B can beat C by 30m. By What distance will A beat C in a 880 m Race ?

Answer:

Explanation:

When A covers the distance of 1760 m, B covers only $1760-44$ =1716 m

In 1320 m race, B can beat C by 30 m.

If B runs 1320 m, C runs $1320-30$ =1290 m

If B runs 1716 m, C runs $=\frac{(1290\times 1716)}{1320}$ = 1677 m

$A:B:C$ $=1760:1716:1677$

Hence A will beat C by $1760-1677$ $=83$ m in 1760 m race

i.e. $\frac{83}{2}$ $=41\frac{1}{2}$ m in 880 race.

A train travelling at the speed of 45 km/hr crosses a platform in 15 seconds. What is the length of the train ?

Answer:

Explanation:

When a train crosses a platform, it covers a distance equal to the sum of its length and that of platform .Here length of platform is not given. Hence  length of train cannot be determined.

A walks at 4 kmph and 4 hours after his start, B cycles after him at 10 kmph. How far from the start does B catch up with A ?

Answer:

Explanation:

Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover $x$ km and that taken by B to cover $x$ km is 4 hours.

$\frac{x}{4}-\frac{x}{10}=4 $ or $x$ = 26.7 km

A walks around a circular field at the rate of one round per hour while B runs around it at the rate of six rounds per hour. They start in the same direction from the same point at 7.30 a.m. They shall first cross each other at : 

Answer:

Explanation:

Since A and B move in the same direction along the circle, so they will first meet each other when there is a difference of one round between the two.

Relative speed of A and B $=(6-1)$ = 5 rounds per hour.

Time taken to complete one round at this speed $=\frac{1}{5}$ hr = 12 min

Three persons are walking from a place A to another place B. Their speeds are in the ratio of 4 : 3 : 5. The time ratio to reach B by these persons will be :

Answer:

Explanation:

Ratio of speeds $=4:3:5$.

There for Ratio of times taken $=\frac{1}{4}:\frac{1}{3}:\frac{1}{5}$ $=15:20:12$

• Time and Distance - General Questions
• Time and Distance - Data Sufficiency 1