(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

$A$ train leaves a station $A$ at $7:00 \text{ am}$ and reaches another station $B$ at $11:00 \text{ am}.$ Another train leaves station $B$ at $8:00 \text{ am}$ and reaches $A$ at $11:30 \text{ am}.$ At what time do the two trains cross each other?

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$A$ man starts from a place $P$ and reaches the place $Q$ in $7 \, hours$. He travels $\frac{1}{4}^{th}$ of the distance at $10 \, km/h$ and the remaining distance at $12 \, km/h$. The distance,in $km$,between $P$ and $Q$ is

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$A$ man walks a certain distance and rides back in $4 \, h \, 30 \, min$. He could ride both ways in $3 \, h$. The time required by the man to walk both ways is?

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$A$ farmer travelled a distance of $61 \, km$ in $9 \, hours$. He travelled partly on foot at $4 \, km/h$ and partly on bicycle at $9 \, km/h$. The distance travelled on foot is (in $km$)

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$A$ boy goes to his school from his house at a speed of $3 \, km/hr$ and returns at a speed of $2 \, km/hr$. If he takes $5 \, hours$ in total for the round trip,the distance between his house and school is (in $km$):

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$A$ train leaves a station $A$ at $7:00 \text{ am}$ and reaches another station $B$ at $11:00 \text{ am}.$ Another train leaves station $B$ at $8:00 \text{ am}$ and reaches $A$ at $11:30 \text{ am}.$ At what time do the two trains cross each other?

$A$ man starts from a place $P$ and reaches the place $Q$ in $7 \, hours$. He travels $\frac{1}{4}^{th}$ of the distance at $10 \, km/h$ and the remaining distance at $12 \, km/h$. The distance,in $km$,between $P$ and $Q$ is

$A$ man walks a certain distance and rides back in $4 \, h \, 30 \, min$. He could ride both ways in $3 \, h$. The time required by the man to walk both ways is?

$A$ farmer travelled a distance of $61 \, km$ in $9 \, hours$. He travelled partly on foot at $4 \, km/h$ and partly on bicycle at $9 \, km/h$. The distance travelled on foot is (in $km$)

$A$ boy goes to his school from his house at a speed of $3 \, km/hr$ and returns at a speed of $2 \, km/hr$. If he takes $5 \, hours$ in total for the round trip,the distance between his house and school is (in $km$):

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