With an average speed of 40, km / h , a train reaches its destination on time. If it goes with an av

English

Gujarati

Hindi

4.Average

medium

With an average speed of $40\, km / h ,$ a train reaches its destination on time. If it goes with an average speed of $35 \,Km / h ,$ it reaches late by $15$ minutes. The total journey is (in $km$)

A

$30$

B

$40$

C

$70$

D

$80$

Solution

$\frac{x}{35}-\frac{x}{40}=\frac{15}{60}$ or, $\frac{5 x}{35 \times 40}=\frac{1}{4}$

$x=\frac{35 \times 40}{5 \times 4}=70$

Total journey $=70 km$.

Standard 13

Quantitative Aptitude

Share

Similar Questions

There were $35$ students in a hostel. If the number of students is increased by $7,$ the expenditure on food increase by $Rs. \,42$ per $day$ while the average expenditure of students is reduced by $Rs.\, 1.$ What was the initial expenditure on food per day? (in $Rs.$)

easy

The average weight of $8$ persons increases by $2.5\, kg$ when a new person comes in place of one of them weighing $65\, kg$. What might be the weight of the new person? (in $kg$)

medium

The average temperature from Monday to Thursday is $48^{\circ} C$ and from Tuesday to Friday is $52^{\circ} C$. If the temperature on Monday is $42^{\circ} C$, what was it on Friday? (in $^{\circ} C$)

medium

The average age of a group of $18$ persons is $32$ $years$ and $6 \,months.$ If two persons of age $65\, years$ each and one person of age $50\, years$ leave the group, the average age of the remaining persons in the group will be (in $years$)

medium

The average of marks obtained by $100$ candidates in a certain examination is $30 .$ If the average marks of passed candidates is $35$ and that of the failed candidates is $10,$ what is the number of candidates who passed the examination?

medium