HSSC CET (TIME & DISTANCE) MATH QUIZ

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Question 1:

The ratio of the speeds of two trains is 2 : 7. If the first train runs 250 km in 5 hours, then the sum of the speeds (in km/h) of both the trains is:

Question 2:

$\mathrm{A}$ and $\mathrm{B}$ started their journeys from $\mathrm{X}$ to $\mathrm{Y}$ and $\mathrm{Y}$ to $\mathrm{X}$, respectively. After crossing each other, $\mathrm{A}$ and $\mathrm{B}$ completed the remaining parts of their journeys in $6 \frac{1}{8}$ hours and 8 hours, respectively. If the speed of $A$ is $32 \mathrm{~km} / \mathrm{h}$, then the speed, in $\mathrm{km} / \mathrm{h}$, of $\mathrm{B}$ is:

Question 3:

A journey of 900 km is completed in 11 h. If two-fifths of the journey is completed at the speed of 60 km/h, at what speed (in km/h) is the remaining journey completed?

Question 4:

A car driver covered a certain distance at some speed. If he had moved $10 \mathrm{~km} / \mathrm{h}$ faster, than the usual speed he would have taken 55 minutes less. If he had moved $8 \mathrm{~km} / \mathrm{h}$ slower than the usual speed, he would have taken 55 minutes more. What is the distance in $\mathrm{km}$ ?

Question 5:

A tank full of petrol in a motorcycle lasts for 30 days. If a rider starts using $20 \%$ more petrol every day, then for how many days will the tank full of petrol last?

Question 6:

A man travelled the first part of his journey at $160 \mathrm{~km} / \mathrm{h}$ and the second part at $240 \mathrm{~km} / \mathrm{h}$, and covered a total distance of $3840 \mathrm{~km}$ to his destination in 20 hours. How long, in hours, did the second part of his journey last?

Question 7:

A train covers 400 km at a uniform speed. If the speed had been 10 km/h more , it would have taken 2 hours less for the same journey. What is the speed of the train (in km/h )?

Question 8:

A woman takes 3 hours 20 minutes in walking to a temple and riding back. She would have gained 2 hours by riding both ways. Half of the time she would take to walk both ways is:

Question 9:

A train is going at $\frac{1}{2}$ of its usual speed and it takes an extra 60 minutes to reach its destination. Find its usual time to cover the same distance.

Question 10:

A train covers a distance of 325 km in ${2}\frac{1}{2}$ hours with a uniform speed. Find the time taken (in hours) to cover a distance of 650 km at the same speed.