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Total distance to be covered = 60 × (90/60) = 90 km Time taken to cover half the distance at original speed = {(90 ÷ 2) ÷ 60} × 60 = 45 minutes Time remaining = 90 – 45 – 15 = 30 minutes Required speed = 45 ÷ 30 × 60 = 90 km/h
If the roots of the quadratic equation 6m² + 7m + 8 = 0 are α and β, then what is the value of [(1/α) + (1/β)]?
A sum of money grows to Rs. 7,500 in 5 years and Rs. 8,250 in 7 years under simple interest. What is the original principal amount?
