Time, Speed & Distance

12 Grade 7 Mathematics questions on Time, Speed & Distance, with worked marking schemes. 12 questions are available on this topic in full.

1. Question 1

   3 marks

   A motorist covered 180 km in 2 hours 15 minutes. Find the speed in km/h.

   (3 marks)

   Marking scheme

   The speed is wanted in km/h, so the time must be in hours. $15$ minutes is $\frac{15}{60}=\frac{1}{4}$ hour, so the time is $2\frac{1}{4}=\frac{9}{4}$ hours. (1)

   $\text{speed}=\frac{\text{distance}}{\text{time}}=180÷\frac{9}{4}$. (1)

   Dividing by a fraction means multiplying by its reciprocal: $180\times \frac{4}{9}=80$. (1)

   Final answer: $80$ km/h.

2. Question 2

   3 marks

   A bus left town A at 8.00 a.m. travelling at 60 km/h towards town B which is 300 km away. At the same time, a car left town B travelling towards town A at 80 km/h.

   (a) At what time did they meet? (2 marks)

   (b) How far from town A did they meet? (1 mark)

   Marking scheme

   (a)

   Combined speed = 60 + 80 = 140 km/h

   Time to meet = 300 ÷ 140 ≈ 2 hours 8 minutes 34 seconds

   ≈ 2 hrs 9 mins. They met at approximately 10.09 a.m.

   (b)

   Distance from A = 60 × (300/140) ≈ 128.6 km

3. Question 3

   3 marks

   A bus left town A at 8.00 a.m. travelling at 60 km/h towards town B which is 300 km away. At the same time, a car left town B travelling towards town A at 80 km/h.

   (a) At what time did they meet? (2 marks)

   (b) How far from town A did they meet? (1 mark)

   Marking scheme for this question

   Create a free account to see it

4. Question 4

   2 marks

   A bus travels 240 km in 3 hours. Find its average speed in km/h.

   (2 marks)

   Marking scheme for this question

   Create a free account to see it

5. Question 5

   1 mark

   A cyclist rides at 18 km/h for 2 hours 30 min. Distance?

   A. 36 km

   B. 20.5 km

   C. 54 km

   D. 45 km

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

6. Question 6

   1 mark

   A car travels 240 km in 3 hours. What is the speed?

   A. 243 km/h

   B. 60 km/h

   C. 720 km/h

   D. 80 km/h

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

7. Question 7

   2 marks

   A bus travels 240 km in 3 hours. Find its average speed in km/h.

   (2 marks)

   Marking scheme for this question

   Create a free account to see it

8. Question 8

   1 mark

   A bus takes 4 hours to cover 300 km. Speed?

   A. 1,200 km/h

   B. 304 km/h

   C. 75 km/h

   D. 70 km/h

   (1 mark)

   Marking scheme for this question

   Create a free account to see it

9. Question 9

   3 marks

   A train 200 m long passes a pole in 10 seconds. Find the speed in km/h.

   (3 marks)

   Marking scheme

   Passing a pole means the train covers its own length, so the distance is $200$ m and the time is $10$ s. (1)

   $\text{speed}=\frac{200}{10}=20$ m/s. (1)

   To change m/s to km/h, multiply by $\frac{3600}{1000}=3.6$: $20\times 3.6=72$. (1)

   Final answer: $72$ km/h.

10. Question 10

    1 mark

    How long to cover 150 km at 60 km/h?

    A. 2 hrs 15 min

    B. 2 hrs 30 min

    C. 3 hrs

    D. 2 hrs

    (1 mark)

    Marking scheme for this question

    Create a free account to see it

11. Question 11

    4 marks

    Wambui walked 3 km at 6 km/h then cycled 12 km at 24 km/h. Find the average speed for the whole journey.

    (4 marks)

    Marking scheme for this question

    Create a free account to see it

12. Question 12

    4 marks

    A bus left A at 8:00 a.m. at 60 km/h. A car left B at the same time at 80 km/h. AB = 300 km.

    (a) When did they meet? (2 marks)

    (b) How far from A? (2 marks)

    Marking scheme for this question

    Create a free account to see it

13. 9 more marking schemes are on this page. A free account opens all of them, and lets you build your own paper on the topics you have actually taught, laid out in KNEC format with its full marking scheme.

    Create a free account

More Grade 7 Mathematics topics