Question
A woman travels at 50 km/h and is expected to reach her
destination in 2 hours. However, after covering half the distance, she takes a 20-minute break. What speed must she maintain for the remaining journey to arrive on time?Solution
Total distance = 50 × 2 = 100 km
Time for half the journey = (100 ÷ 2) ÷ 50 × 60 = 60 minutes
Time remaining = 120 – 60 – 20 = 40 minutes
Required speed = (50 ÷ 40) × 60 = 75 km/h
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In triangle GHI, a point J lies on side HI such that ∠GJH = ∠GJI. If GH = 50 cm, GI = 30 cm, and HI = 40 cm, find the length of HJ.
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If O is circumcentre of acute angled triangle ABC, if ∠ OBC = 150 then ∠BAC = ?
