Manila walked 4 miles an hour and arrived home in 30 minutes. her sister ran 6 miles an hour, how long did it take for her to get home.

20 minutes

Step-by-step explanation:

Manila walked home in 30 minutes. She walks 4 miles an hour. Since 30 minutes is half an hour then its half the distance of the rate. 4/2 = 2 miles. This means home is 2 miles away.

Since her sister runs 6 miles an hour, the time it took her will be for only 2 miles. So 6 miles divided into 3 is 2. An hour divided by 3 = 20 minutes. This means her sister travels home 2 miles in 20 minutes.

about 0.75 hours

step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629