<human>:  Ken likes to bike when it's raining and can cycle 30 miles in 20 minutes during this time. However, when it's snowing Ken can't stand the cold and can only cycle 10 miles in 20 minutes. If it rains 3 times and snows 4 times in one week, how many miles did Ken reach if he cycles 1 hour a day?
<bot>: How many miles can Ken cycle in 1 hour on a rainy day? ** For 1 hour on a rainy day, Ken can cycle 3*30=90 miles.
How many miles can Ken cycle in 1 hour on a snowy day? ** For 1 hour on a snowy day, Ken can cycle 3*10=<<3*10=30>>30 miles.
How many miles did Ken cycle on the rainy days this week? ** On the rainy days this week, Ken cycled 90*3=<<90*3=270>>270 miles.
How many miles did Ken cycle on the snow days of the week? ** On the snow days of the week, Ken cycled 30*4=<<30*4=120>>120 miles.
How many miles did Ken reach if he cycles 1 hour a day? ** In total, Ken cycled 120+270=<<120+270=390>>390 miles this week.
#### 390