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Question : Directions: A cyclist rides 40 km to the east, turns north, and rides 20 km, again turns left and rides 20 km. How far (approx) is he from the starting point?

Option 1: 0 km

Option 2: 10 km

Option 3: 20 km

Option 4: 30 km


Team Careers360 3rd Jan, 2024
Answer (1)
Team Careers360 22nd Jan, 2024

Correct Answer: 30 km


Solution : According to the instructions given, the diagram is as follows –

Here, A is the starting point, D is the finishing point and AD is the distance from the starting point.
AB = 40 km; BC = 20 km and CD = 20 km
AE = 20 km and DE = 20 km

By applying the Pythagoras theorem –
(AD) 2 = (AE) 2 + (DE) 2
(AD) 2 = (20) 2 + (20) 2 = 400 + 400 = 800
⇒ AD = √800 = 28.28 = 30 km (Approx)

So, the cyclist's distance from the starting point is 30 km. Hence, the fourth option is correct.

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