A car and a van were 532 km apart. At 10.40 a.m., the car and the van started to travel towards each other. The car travelled at 87 km/h while the van travelled at 65 km/h. Both vehicles did not change their speeds throughout.

(a)
What was the total distance travelled by both vehicles in an hour?
(b)
At what time would the two vehicles meet? Leave your answer in 24-hour clock.

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Worked solution

1. Calculate the total distance travelled by both vehicles in one hour

$87 + 65 = 152$

Answer

$152$ km

1. Calculate the time taken for the two vehicles to meet

Time taken = $\frac{532}{152} = 3.5$ hours

2. Convert the time taken into hours and minutes and add to the start time

$3.5$ hours = $3$ hours $30$ minutes
Start time = $10.40$ a.m. = $1040$
$1040 + 3$ hours $30$ minutes = $1410$

Answer

$1410$

AI analysis — may contain mistakes.

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