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Start learning 50% faster. Sign in nowLet the speed of boat and current be x km/hr and y km/hr respectively. Downstream = (x + y) km/hr Upstream speed = (x – y) km/hr According to the question 3/(x – y) + 5/(x + y) = 55/60 = 11/12 4/(x – y) + 9/(x + y) = 1 + 25/60 = 17/12 Let 1/(x + y) = a and 1/(x – y) = b 3b + 5a = 11/12 ...1) 4b + 9a = 17/12 ...2) Multiply by 4 in equation (1) and multiply by 3 in equation (2) 12b + 20a = 11/3 ...3) 12b + 27a = 17/4 ...4) Subtract equation (3) from equation (4) 7a = 17/4 – 11/3 ⇒ 7a = 7/12 ⇒ a = 1/12 ⇒ x + y = 12 km/hr Speed of downstream = 12 km/hr ∴ Time taken to cover 43.2 km distance in downstream = 43.2/12 = 3.6 hr
What will come in the place of question mark (?) in the given expression?
45% of (√6400 × 5) = ? + 111
50% of (22 x 15) + 205 = ?
(560 ÷ 32) × (720 ÷ 48) = ?
1780 – 60 ÷ 4 x 80 = ?
The value of (40 + 3/4 of 32) /[37 + 3/4 of (34-6)] is:
Find the simplified value of the following expression:
[{12 + (13 × 4 ÷ 2 ÷ 2) × 5 – 8} + 13 of 8]
(√ 121 x 41) + (3√343 x √289 ) = ? x 19
62 + 43 + 625(1/4) - ? = 102