Question
The speed of the boat in still water is 20% less than
the speed of the boat in downstream. The time taken by the boat to cover 780 km distance in upstream is (t+3) hours. If the speed of the stream is 20 km/h, then find out the value of βtβ.Solution
ATQ, Let βBβ be the speed of the boat in still water and βSβ the speed of the stream, with S = 20 km/h. B = (100-20)% of (B+S) = 80% of (B+S) = 0.8(B+S). B = 0.8(B+20), which leads to B = 0.8B + 16, thus 0.2B = 16, giving us B = 80 km/h. With the boat covering 780 km upstream, where upstream speed = B - S = 80 - 20 = 60 km/h, we have 780/(t+3) = 60. Solving for t yields t+3 = 780/60 = 13, Hence, t = 10. Value of βtβ = 10.
- Determine the final value of this expression:
(1/5) of {5β΄ - 24 Γ 14 + 12 Γ 18 - 10.5 of 10Β²} 3% of 842 ÷ 2% of 421 = ?
β225 + 27 Γ 10 + ? = 320
- Determine the value of βpβ if p = β529 + β1444
45 % of 180 + β144 * 8 = ?2 Β + 70 % of 80
Determine the value of 'p' in following expression:
720 Γ· 9 + 640 Γ· 16 - p = β121 X 5 + 6Β²- 7?2 = β20.25 Γ 10 + β16 + 32
- What will come in place of the question mark (?) in the following questions?
(2β΄ + 6Β²) Γ· 2 = ? 18(1/3) + 9(2/3) β 10(1/3) = 1(2/3) + ?