(D) Total time $= 15\, hours$.$1$. First part: Time $= \frac{1}{3} \times 15 = 5\, hours$. Distance $= 5 \times 80 = 400\, km$.Remaining time $= 15 -

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(D) Total time $= 15\, hours$.$1$. First part: Time $= \frac{1}{3} \times 15 = 5\, hours$. Distance $= 5 \times 80 = 400\, km$.Remaining time $= 15 - 5 = 10\, hours$.$2$. Second part: Time $= 40\% \text{ of } 10 = 0.4 \times 10 = 4\, hours$. Distance $= 4 \times 70 = 280\, km$.Remaining time $= 10 - 4 = 6\, hours$.$3$. Third part: Time $= \frac{2}{3} \times 6 = 4\, hours$. Distance $= 4 \times 85 = 340\, km$.Remaining time $= 6 - 4 = 2\, hours$.$4$. Fourth part: Time $= 2\, hours$. Distance $= 2 \times 100 = 200\, km$.Total distance $= 400 + 280 + 340 + 200 = 1220\, km$.

Competitive Quantitative Aptitude Time and Distances Time and Distances

Easy

$A$ bus takes $15\, hours$ to travel from Delhi to Chandigarh. The bus travels for one-third of the total time at a speed of $80\, km/h$. It travels for $40\%$ of the remaining time at a speed of $70\, km/h$. It travels for $\frac{2}{3}$ of the remaining time at a speed of $85\, km/h$,and the rest of the time at a speed of $100\, km/h$. What is the total distance covered by the bus?

A
$1200$
B
$860$
C
$1120$
D
$1220$

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Time and Distances

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Time and Distances

$A$ car covers four successive $7 \, km$ distances at speeds of $10 \, km/h$,$20 \, km/h$,$30 \, km/h$,and $60 \, km/h$ respectively. Its average speed over this total distance is (in $km/h$):

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The call rate of a $SIM$ of Company $A$ is one paisa for every three seconds. Another $SIM$ of Company $B$ charges $45 \text{ paisa per minute}$. $A$ man talked for $591 \text{ seconds}$ from the $SIM$ of Company $A$ and $780 \text{ seconds}$ from the $SIM$ of Company $B$. What would be the total amount he spent? (in $Rs.$)

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$A$ car covers $\frac{1}{5}$ of the distance from $A$ to $B$ at the speed of $8 \, km/h$,$\frac{1}{10}$ of the distance at $25 \, km/h$,and the remaining at the speed of $20 \, km/h$. Find the average speed of the whole journey in $km/h$. (in $.625$)

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$A$ boy walking at a speed of $10\, km/hr$ reaches his school $15\, minutes$ late. Next time he increases his speed by $2\, km/hr$, but still he is late by $5\, minutes$. Find the distance of his school from his house (in $km$).

Difficult

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Two boys jointly begin to write a booklet containing $817$ lines. The first boy starts with the first line and writes $200$ lines an hour. The second boy starts with the last line,then writes line $816$ and so on,proceeding backwards at the rate of $150$ lines an hour. They will meet on:

Medium

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$A$ car covers four successive $7 \, km$ distances at speeds of $10 \, km/h$,$20 \, km/h$,$30 \, km/h$,and $60 \, km/h$ respectively. Its average speed over this total distance is (in $km/h$):

$A$ car covers $\frac{1}{5}$ of the distance from $A$ to $B$ at the speed of $8 \, km/h$,$\frac{1}{10}$ of the distance at $25 \, km/h$,and the remaining at the speed of $20 \, km/h$. Find the average speed of the whole journey in $km/h$. (in $.625$)

$A$ boy walking at a speed of $10\, km/hr$ reaches his school $15\, minutes$ late. Next time he increases his speed by $2\, km/hr$, but still he is late by $5\, minutes$. Find the distance of his school from his house (in $km$).

Two boys jointly begin to write a booklet containing $817$ lines. The first boy starts with the first line and writes $200$ lines an hour. The second boy starts with the last line,then writes line $816$ and so on,proceeding backwards at the rate of $150$ lines an hour. They will meet on:

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