Benedict and Samuel began jogging from the same starting point but in opposite directions along a straight line. They each jogged for half an hour. At the end of the jog, they were 10.5 km apart. Benedict's average speed was 120 m/min.

  1. (a)

    How many kilometres did Benedict jog?
    Ans : (a) ___

  2. (b)

    What was Samuel's average speed in m/min?
    Ans : (b) ___

Work through it with AI →

It won't just hand you the answer — it asks where you're stuck.How the checker works

Worked solution

7(a)

1. Calculate the distance Benedict jogged in metres

Distance=Speed×Time\text{Distance} = \text{Speed} \times \text{Time}
Distance=120 m/min×30 min=3600 m\text{Distance} = 120 \text{ m/min} \times 30 \text{ min} = 3600 \text{ m}

2. Convert the distance to kilometres

3600 m=3.6 km3600 \text{ m} = 3.6 \text{ km}

Answer

3.63.6

7(b)

1. Calculate the distance Benedict jogged in half an hour

Time =30= 30 min
Benedict's distance =120 m/min×30 min=3600 m=3.6 km= 120 \text{ m/min} \times 30 \text{ min} = 3600 \text{ m} = 3.6 \text{ km}

2. Calculate the distance Samuel jogged

Total distance apart =10.5 km=10500 m= 10.5 \text{ km} = 10500 \text{ m}
Samuel's distance =10500 m−3600 m=6900 m= 10500 \text{ m} - 3600 \text{ m} = 6900 \text{ m}

3. Calculate Samuel's average speed in m/min

Samuel's average speed =6900 m30 min=230 m/min= \frac{6900 \text{ m}}{30 \text{ min}} = 230 \text{ m/min}

Answer

230230 m/min

AI analysis — may contain mistakes.

Worked this one out on paper? Snap your steps and Gigle's AI math checker will circle the step where it went wrong.

More questions on this topic

  1. 1The figure below is made up of 2 squares, ABCD and DEFG. X is a point on GD and Y is a point on DE. BC = 7 cm, FE = 6 cm…
  2. 2Find the value of 10imes(24+36ext÷ext6)10 imes (24 + 36 ext{ } \div ext{ } 6). Ans: ___
  3. 3In a camp, the number of children is 38\frac{3}{8} of the number of adults. 29\frac{2}{9} of the children are boys and t…
  4. 4A can of mushroom soup costs $3.20 and a bundle of 3 cans of mushroom soup costs $8. Diane wants to buy 20 cans of mus…
  5. 5A group of singers are arranged in 5 rows. There are 7 singers in the second row. Each row has nn more singers than the…