A car travels for 4(t+3) hours at a constant speed of 10(t+3) km/h. If the total distance travelled by the car is 810 km, find the speed of the car.
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Speed of the car is 45 km/h

Step-by-step explanation:

Given that the speed of the car = 10 (t + 3) km/h

Time taken = 4 (t + 3) hours

Distance = Speed × Time

               = 10 (t + 3) × 4 (t + 3) = 40(t + 3)² km

⇒ 810 = 40 (t + 3)²

⇒ (t + 3)² = 81/4

⇒ t + 3 = √81/4 = 9/2

⇒ t = 9/2 - 3 = 3/2 = 1.5

Speed = 10 (1.5 + 3) = 10 × 4.5 = 45 km/h

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step-by-step explanation:

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